88332 ÷ 8 = 11041 R4
Alright, let's work through the division of 88332 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 8

Step 2:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 8 from 8 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 8

Step 3:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 110
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 8

Step 4:
8 goes into 33 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 1104
Subtract 32 from 33 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 5:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 11041
Subtract 8 from 12 to get 4.

The final result is 11041 with a remainder of 4.